Closed-form expressions for the numerical dispersion and reflection in FEM simulations involving biaxial materials

被引：5

作者：

Mitchell, A ^{[1
]}

Kokotoff, DM ^{[1
]}

Austin, MW ^{[1
]}

机构：

[1] Royal Melbourne Inst Technol, Dept Commun & Elect Engn, Melbourne, Vic 3001, Australia

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2001年 / 49卷 / 02期

关键词：

finite-element methods; numerical errors; perfectly matched layer (PML);

D O I：

10.1109/8.914259

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Closed-form expressions for the numerical errors caused by finite-element discretization of problems involving materials of biaxial permittivity and permeability tensors are developed. In particular, we derive expressions for the numerical dispersion and reflection in both first-order node and edge basis function finite-element formulations in an equilateral triangular mesh. Results using these closed-form expressions are compared to practical numerical simulations, The application of these expressions to the analysis of the performance of the perfectly matched layer boundary is suggested.

引用

页码：158 / 164

页数：7

共 11 条

[1] A PERFECTLY MATCHED LAYER FOR THE ABSORPTION OF ELECTROMAGNETIC-WAVES [J].

BERENGER, JP .

JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 114 (02) :185-200

[2] Closed-form expression of numerical reflection coefficient at PML interfaces and optimization of PML performance [J].

Fang, JY ;

Wu, ZH .

IEEE MICROWAVE AND GUIDED WAVE LETTERS, 1996, 6 (09) :332-334

[3]

JIN J, FINITE ELEMENT METHO, P93

[4] An anisotropic PML for use with biaxial media [J].

Mitchell, A ;

Aberle, JT ;

Kokotoff, DM ;

Austin, MW .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1999, 47 (03) :374-377

[5]

MITCHELL AD, 1999, THESIS ROYAL MELBOUR

[6] A two-dimensional finite element formulation of the perfectly matched layer [J].

Polycarpou, AC ;

Lyons, MR ;

Balanis, CA .

IEEE MICROWAVE AND GUIDED WAVE LETTERS, 1996, 6 (09) :338-340

[7]

SHEWCHUK JR, 1996, P 1 WORKSH APPL COMP

[8]

SHEWCHUK JR, 1996, 2 DIMENSIONAL QUALIT

[9] NUMERICAL DISPERSION IN THE FINITE-ELEMENT METHOD USING TRIANGULAR EDGE ELEMENTS [J].

WARREN, GS ;

SCOTT, WR .

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 1995, 9 (06) :315-319

[10] AN INVESTIGATION OF NUMERICAL DISPERSION IN THE VECTOR FINITE-ELEMENT METHOD USING QUADRILATERAL ELEMENTS [J].

WARREN, GS ;

SCOTT, WR .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1994, 42 (11) :1502-1508

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